For any \\(\mathcal{V}\\)-functor, \\(F\\), define a \\(\mathcal{V}\\)-profunctor \\(\Phi\\) in \\(\mathcal{V}\\) using it's closed structure,

\\[
\Phi := x \multimap F(x)
\\]

I believe this defines a \\(\mathcal{V}\\)-profunctor.